UPSC CDS 1 2022 Math Paper

Question : 76 of 100

Marks: +1, -0

A rectangular sheet is of length x and breadth y. If p is the volume of the cylinder formed by rolling the sheet along its breadth and q is the volume of the cylinder formed by rolling the sheet along its length, and q=2p, then which one of the following is correct?

x=y
2x=3y
x=2y
3x=4y

Validate

Formula	Rolling along breadth	Rolling along length
Circumference = 2πr	2πr=y⇒r=y∕2π	2πr=x ⇒r=x∕2π
Volume =π(r)2h	p=π(y∕2π)2x	q=π(x∕2π)2y
Diagram

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